Читать книгу Fundamentals of Heat Engines - Jamil Ghojel - Страница 56

The mass flow rate and density of a fluid are and ρ = p/RT. Combining these equations with the equation for the Mach number, we obtain

or, rearranging,

(1.71)

Now

Also

hence

Combining this equation with Eqs. (1.67), (1.68), and (1.71) we obtain

Finally, for the compressor inlet conditions

(1.72)

Rearranging Eq. (1.72) yields

(1.73)

For a compressor of fixed size and constant fluid properties, the flow parameter is a function of the Mach number:

(1.74)